All Categories MCQs
Topic Notes: All Categories
General Description
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
4311
Which term of the AP 5, 9, 13, 17, ... is 81?
Answer:
20th
Using the nth term formula a_n = a + (n - 1)d, where a_n = 81, a = 5, and d = 4. We get 81 = 5 + (n - 1) * 4. Solving for n: 76 = (n - 1) * 4 => 19 = n - 1 => n = 20. Therefore, 81 is the 20th term.
4312
Find the 10th term of the AP: 2, 5, 8, 11, ...
Answer:
29
The formula for the nth term of an AP is a_n = a + (n - 1)d. Here, the first term 'a' is 2, the common difference 'd' is 5 - 2 = 3, and 'n' is 10. So, a_10 = 2 + (10 - 1) * 3 = 2 + 9 * 3 = 2 + 27 = 29.
4313
What is the next term in the arithmetic progression 3, 7, 11, 15, ...?
Answer:
19
In an Arithmetic Progression (AP), the difference between consecutive terms is constant. Here, the common difference 'd' is 7 - 3 = 4. The next term is found by adding the common difference to the last given term: 15 + 4 = 19.
4314
An article is sold at a loss of 20%. If the selling price is increased by Rs. 100, there will be a gain of 5%. The cost price of the article is:
Answer:
Rs. 400
The difference between 20% loss and 5% gain is 25% of CP. 25% of CP = Rs. 100. CP = 100 / 0.25 = Rs. 400.
4315
A TV was sold at a profit of 5%. If it had been sold at a profit of 10%, the profit would have been Rs. 1000 more. What is its cost price?
Answer:
Rs. 20000
The difference in profit is 10% - 5% = 5% of CP. So, 5% of CP = 1000. CP = (1000 / 5) * 100 = Rs. 20000.
4316
A man sold a cycle for Rs. 1500 and gained 25%. What would be his profit or loss percent if he sold it for Rs. 1100?
Answer:
8.33% loss
SP = 1500. Profit = 25%. CP = 1500 / 1.25 = Rs. 1200. New SP = 1100. Since SP < CP, it's a loss. Loss = 1200 - 1100 = 100. Loss % = (100 / 1200) * 100 = 8.33% loss.
4317
A trader lists his articles 20% above CP and allows a discount of 10% on cash payment. His gain percent is:
Answer:
8%
Let CP = 100. MP = 120. A 10% discount on MP means SP = 90% of 120 = 108. Profit = 108 - 100 = 8. Profit % = 8%.
4318
By selling an article at 80% of its marked price, a trader makes a loss of 10%. What will be the profit percentage if he sells it at the marked price?
Answer:
12.5%
Let MP = 100. SP = 80. Loss is 10%, so SP is 90% of CP. 0.90 * CP = 80 => CP = 80 / 0.9 = 800 / 9. If sold at MP (100), Profit = 100 - (800 / 9) = 100 / 9. Profit % = ((100 / 9) / (800 / 9)) * 100 = 100 / 8 = 12.5%.
4319
A shopkeeper sells his goods at CP but uses a 900 gm weight for a kilogram. What is his profit percent?
Answer:
11.11%
He delivers 900g but charges for 1000g. Profit is based on the 900g cost. Profit % = (Error / Correct Weight Used) * 100 = (100 / 900) * 100 = 11.11%.
4320
If the marked price of an article is Rs. 1200 and it is sold for Rs. 960, what is the discount percentage?
Answer:
20%
MP = 1200, SP = 960. Discount = 1200 - 960 = 240. Discount % = (Discount / MP) * 100 = (240 / 1200) * 100 = 20%.